Two extensions of the Stone Duality to the category of zero-dimensional Hausdorff spaces

Autor:	Dimov, Georgi, Ivanova-Dimova, Elza
Rok vydání:	2019
Předmět:	Mathematics - General Topology Mathematics - Category Theory 54B30 54D35 54D80 18A40 18B30 06E15 06E75
Druh dokumentu:	Working Paper
Popis:	Extending the Stone Duality Theorem, we prove two duality theorems for the category ZHaus of zero-dimensional Hausdorff spaces and continuous maps. Both of them imply easily the Tarski Duality Theorem, as well as two new duality theorems for the category EDTych of extremally disconnected Tychonoff spaces and continuous maps. Also, we describe two categories which are dually equivalent to the category ZComp of zero-dimensional Hausdorff compactifications of zero-dimensional Hausdorff spaces and obtain as a corollary the Dwinger Theorem about zero-dimensional compactifications of a zero-dimensional Hausdorff space. Comment: 33 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1901.04537 Zobrazit plný text záznamu View this record from Arxiv